450464560 has 160 divisors (see below), whose sum is σ = 1319915520. Its totient is φ = 139152384.

The previous prime is 450464549. The next prime is 450464561. The reversal of 450464560 is 65464054.

It is not an unprimeable number, because it can be changed into a prime (450464561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312321 + ... + 313759.

It is an arithmetic number, because the mean of its divisors is an integer number (8249472).

Almost surely, 2^450464560 is an apocalyptic number.

450464560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450464560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659957760).

450464560 is an abundant number, since it is smaller than the sum of its proper divisors (869450960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450464560 is a wasteful number, since it uses less digits than its factorization.

450464560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 450464560 is about 21224.1503952455. The cubic root of 450464560 is about 766.5730429677.

The spelling of 450464560 in words is "four hundred fifty million, four hundred sixty-four thousand, five hundred sixty".